Finding Greatest Common Factor Shared Factors - 3 Numbers (Level 3)

This math topic focuses on finding the greatest common factor (GCF) shared between three numbers through factoring. Students are given different sets of three numbers and must determine which factors are common across those numbers. This skill is part of learning about factoring and understanding the greatest common factor, which is essential for simplifying fractions and solving various mathematical problems. There are multiple questions each requiring the identification of shared prime factors from given options.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Finding Greatest Common Factor Shared Factors - 3 Numbers Worksheet

Math worksheet on 'Finding Greatest Common Factor Shared Factors - 3 Numbers (Level 3)'. Part of a broader unit on 'Factoring and Greatest Common Factor - Advanced' Learn online: app.mobius.academy/math/units/factoring_and_greatest_common_factor_advanced/

1

Find the shared prime factors of these numbers

18, 6, 12

a

{2, 3}

b

{2, 3, 2}

c

{3}

d

{2, 3, 5}

e

{3, 3, 2, 6, 4}

f

{4, 3}

2

Find the shared prime factors of these numbers

14, 8, 12

a

{2}

b

{7, 3, 3, 2}

c

{2, 3}

d

{4, 6, 3}

e

{6, 4, 2, 2}

f

{2, 4}

3

Find the shared prime factors of these numbers

6, 18, 15

a

{3}

b

{3, 6}

c

{3, 7, 3, 6, 2}

d

{7, 6, 3}

e

{3, 2, 6}

f

{2, 4, 2}

4

Find the shared prime factors of these numbers

14, 8, 16

a

{2}

b

{4, 4, 4, 6}

c

{2, 2, 7, 7, 6}

d

{2, 5}

e

{7, 5, 6}

f

{3}

5

Find the shared prime factors of these numbers

8, 18, 10

a

{3, 7, 5, 4}

b

{2, 5, 3, 6, 3}

c

{2, 7, 4, 7, 5}

d

{6}

e

{2}

f

{2, 7}

6

Find the shared prime factors of these numbers

10, 16, 18

a

{4}

b

{2}

c

{5, 4, 2, 5}

d

{6}

e

{5}

f

{2, 5}

7

Find the shared prime factors of these numbers

16, 8, 6

a

{2, 6, 3, 3, 3}

b

{2, 4}

c

{2}

d

{5}

e

{4}

f

{6, 3, 5, 2}